Asymptotical Stability of Cohen-Grossberg Neural Networks Involving S-Type Distributed Delays

Abstract In this paper, we have introduced the S-type distributed delays into the Cohen-Grossberg neural networks since this type of delays may arise in practice and is more general than usual type of distributed delays. In order to use the topological degree method in providing the existence of the equilibrium except for zero equilibrium, some new analysis techniques are demonstrated. Moreover by means of simple but efficient Lyapunov functions we have also presented some sufficient conditions to ensure the exponential stability or asymptotically stable of those equilibria. Our results , which are easily checked and are more general than those in the existing articles, have avoided the deficiency as that in the existing Refs.